An electric dipole of dipole moment vec{p} is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The electric potential $V$ due to an electric dipole at a point $(r, 	heta)$ is given by $V = \frac{p \cos 	heta}{4 \pi \varepsilon_0 r^2}$.Poin

Vedclass · Accepted Answer

$\frac{p q}{4 \pi \varepsilon_0 a^2}$

Vedclass · Answer

(D) The electric potential $V$ due to an electric dipole at a point $(r, 	heta)$ is given by $V = \frac{p \cos 	heta}{4 \pi \varepsilon_0 r^2}$.Point $A(a, 0, 0)$ lies on the equatorial plane of the dipole (which is along the $z$-axis), so the angle $	heta_A = 90^{\circ}$. Thus, the potential at $A$ is $V_A = \frac{p \cos 90^{\circ}}{4 \pi \varepsilon_0 a^2} = 0$.Point $B(0, 0, a)$ lies on the axial line of the dipole, so the angle $	heta_B = 0^{\circ}$. Thus, the potential at $B$ is $V_B = \frac{p \cos 0^{\circ}}{4 \pi \varepsilon_0 a^2} = \frac{p}{4 \pi \varepsilon_0 a^2}$.The work done $W$ to move a charge $q$ from $A$ to $B$ is $W = q(V_B - V_A)$.Substituting the values, $W = q \left( \frac{p}{4 \pi \varepsilon_0 a^2} - 0 ight) = \frac{p q}{4 \pi \varepsilon_0 a^2}$.

An electric dipole of dipole moment $\vec{p}$ is placed at the origin of the coordinate system along the $z$-axis. The amount of work required to move a charge $q$ from the point $A(a, 0, 0)$ to the point $B(0, 0, a)$ is,

Similar Questions

Two charges $7 \ \mu C$ and $-4 \ \mu C$ are placed at $(-7 \ cm, 0, 0)$ and $(7 \ cm, 0, 0)$ respectively. Given $\varepsilon_0 = 8.85 \times 10^{-12} \ C^2 \ N^{-1} \ m^{-2}$,the electrostatic potential energy of the charge configuration is: (in $J$)

If $OP = 1 \, cm$ and $OS = 2 \, cm$,calculate the work done by the electric field in shifting a point charge $q = \frac{4\sqrt{2}}{27} \, \mu C$ from point $P$ to $S$ in the given figure. The dipole moment is $p = 2 \times 10^{-6} \, C \cdot m$.

Write an equation of electric potential at a point on the axis of an electric dipole.

Electric potential at an equatorial point of a small dipole with dipole moment $P$ ($r$,distance from the dipole) is

Vedclass Test Series

Exam Paper Generator

Online Exam Module